ATLAS Algebra II Functions. Practice it free.

The function $f$ is defined by $f(x) = 3x^{2} + 2$. What is the value of $f(x)$ when $x = 2$?

The function $f(x)$ is defined by $f(x) = -3x + 20$. For what value of $x$ does $f(x) = 5$?

For the function $h$, $h(0) = 64$. For each increase in $x$ by $1$, the value of $h(x)$ decreases by $25\%$. What is the value of $h(2)$?

$a = 250 + 15w$

The equation shown gives the estimated balance $a\textsf{,}$ in dollars, in a savings account after $w$ weeks of deposits, where $0 \le w \le 20\textsf{.}$ What is the estimated balance, in dollars, in the savings account after $6$ weeks of deposits?

The function $g$ is defined by $g(t) = 840(0.5)^{t/4}$. The function $g$ models the mass, in milligrams, of a medicine in a patient's bloodstream, where $t$ is the number of hours after an injection. According to the model, what is the estimated mass, in milligrams, of the medicine at the time of the injection?

You invest $\text{\char36}100$ at $10\%$ annual interest compounded yearly for $2$ years. What is the total?

At what $x$-value does the graph of $y = 4(x + 12)(x - 3)(x + 2)$ intercept the $x$-axis?

The function $H$ is defined by $H(x) = -x^{2} + 12x - 20$. The function models the height, in feet, of an arched walkway at a horizontal distance of $x$ feet from the left end of the arch. The domain of the function is $2 \le x \le 10$. Which of the following is the best interpretation of the statement "$H(4)$ is equal to $12$" in this context?